Marsha notices that all of her siblings are more than 5 foot 2 inches tall but at most 6 foot 1 inch tall. Write an inequality or pair of inequalities to represent all possible values, in inches, for Marsha’s siblings heights. Graph this set of values on the number line.

SCHOOLWORKZ3768 SCHOOLWORKZ3768    3   14.02.2022 06:00    4

Miles1111 Miles1111  14.02.2022 06:00

62 < x \leq 73

Step-by-step explanation:

5 feet and 2 inches all in inches would be 62 (12 inches per foot, multiplied by five equals 60, add 2). 6 feet and 1 inch would be 73 inches (12 inches per foot, multiplied by six equals 72, add 1).

Since this inequality has words such as "more than" we have to use # < x. But since at most also applies, we have to use x \leq#.

All her siblings are over 62 inches, so 62 < x. Remember the at most 73 inches, which would be 73 \geq x. We can conclude that the inequalities would be expressed as 62 < x \leq 73.